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This nicely curved mathematical vase is a surface of revolution. Indeed, it is just the graph of the function y=(x+9)*(x-68)*(x-68)*0.0003+10, rotated about the x-axis. This object is indended for teaching (or fun) purposes; as it is not made in a completely water-tight material, it cannot be used as a real vase; but it holds water for a short period of time, e.g. for measuring the volume.